145167966720 has 1920 divisors, whose sum is σ = 660188745216. Its totient is φ = 29812064256.

The previous prime is 145167966689. The next prime is 145167966733. The reversal of 145167966720 is 27669761541.

145167966720 is a `hidden beast` number, since 1 + 451 + 67 + 9 + 66 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2739018214 + ... + 2739018266.

Almost surely, 2^145167966720 is an apocalyptic number.

145167966720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145167966720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330094372608).

145167966720 is an abundant number, since it is smaller than the sum of its proper divisors (515020778496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

145167966720 is an equidigital number, since it uses as much as digits as its factorization.

145167966720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 145167966720 in words is "one hundred forty-five billion, one hundred sixty-seven million, nine hundred sixty-six thousand, seven hundred twenty".